All

What are you looking for?

All
Projects
Results
Organizations

Quick search

  • Projects supported by TA ČR
  • Excellent projects
  • Projects with the highest public support
  • Current projects

Smart search

  • That is how I find a specific +word
  • That is how I leave the -word out of the results
  • “That is how I can find the whole phrase”

Scalable TFETI algorithm for the solution of multibody contact problems of elasticity

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F10%3A86075323" target="_blank" >RIV/61989100:27240/10:86075323 - isvavai.cz</a>

  • Alternative codes found

    RIV/61989100:27230/10:86075323

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Scalable TFETI algorithm for the solution of multibody contact problems of elasticity

  • Original language description

    A Total FETI (TFETI) based domain decomposition algorithm with preconditioning by a natural coarse grid of the rigid body motions is adapted to the solution of contact problems of elasticity in 2D and 3D and proved to be scalable for coercive problems. Thus for the problems with prescribed displacements that are sufficient to prevent the bodies from ``floating'', our algorithm finds an approximate solution at the cost asymptotically proportional to the number of variables provided the ratio of the decomposition parameter and the discretization parameter is bounded. The analysis is based on the classical results by Farhat, Mandel, and Roux on scalability of FETI with a natural coarse grid for linear problems and on our development of optimal quadratic programming algorithms for bound and equality constrained problems. The algorithm preserves parallel scalability of the classical FETI method. Both theoretical results and numerical experiments indicate a high efficiency of our algorithm.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA201%2F07%2F0294" target="_blank" >GA201/07/0294: Qualitative analysis of contact problems with friction and asymptotically optimal algorithms for their solution</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2010

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

  • ISSN

    0029-5981

  • e-ISSN

  • Volume of the periodical

    82

  • Issue of the periodical within the volume

    11

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    22

  • Pages from-to

  • UT code for WoS article

    000277903200002

  • EID of the result in the Scopus database